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Finding the Fourth Proportional to 12,509.96, 18,767.46 and 5,115.02

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Solution

The fourth proportional to 12,509.96, 18,767.46 and 5,115.02 is: 7,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.96 : 18,767.46 = 5,115.02 : x
  2. Step 2: Convert to fraction form
    12,509.96/18,767.46 = 5,115.02/x
  3. Step 3: Cross multiply
    12,509.96x = 18,767.46 × 5,115.02
  4. Step 4: Simplify right side
    12,509.96x = 95,995,933.25
  5. Step 5: Solve for x
    x = 95,995,933.25/12,509.96
  6. Step 6: Final answer
    x = 7,673.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.